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Finding the Fourth Proportional to 25,902.74, 38,841.32 and 8,370.30

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Solution

The fourth proportional to 25,902.74, 38,841.32 and 8,370.30 is: 12,551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.74 : 38,841.32 = 8,370.30 : x
  2. Step 2: Convert to fraction form
    25,902.74/38,841.32 = 8,370.30/x
  3. Step 3: Cross multiply
    25,902.74x = 38,841.32 × 8,370.30
  4. Step 4: Simplify right side
    25,902.74x = 325,113,500.80
  5. Step 5: Solve for x
    x = 325,113,500.80/25,902.74
  6. Step 6: Final answer
    x = 12,551.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.